Search a number
-
+
4412993328 = 2432283108289
BaseRepresentation
bin1000001110000100…
…01110111100110000
3102101112211021210100
410013002032330300
533014211241303
62005521432400
7214233552522
oct40702167460
912345737710
104412993328
111965024227
12a31a9b700
13554362173
142dc13ba12
151ac6538a3
hex10708ef30

4412993328 has 60 divisors (see below), whose sum is σ = 12394007080. Its totient is φ = 1465786368.

The previous prime is 4412993327. The next prime is 4412993339. The reversal of 4412993328 is 8233992144.

It is a super-2 number, since 2×44129933282 = 38949020225945031168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4412993327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13393 + ... + 94896.

Almost surely, 24412993328 is an apocalyptic number.

4412993328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412993328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197003540).

4412993328 is an abundant number, since it is smaller than the sum of its proper divisors (7981013752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4412993328 is a wasteful number, since it uses less digits than its factorization.

4412993328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108586 (or 108577 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 4412993328 is about 66430.3645029891. The cubic root of 4412993328 is about 1640.2539424337.

The spelling of 4412993328 in words is "four billion, four hundred twelve million, nine hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283 566 849 1132 1698 2264 2547 3396 4528 5094 6792 10188 13584 20376 40752 108289 216578 324867 433156 649734 866312 974601 1299468 1732624 1949202 2598936 3898404 5197872 7796808 15593616 30645787 61291574 91937361 122583148 183874722 245166296 275812083 367749444 490332592 551624166 735498888 1103248332 1470997776 2206496664 4412993328